Question
any help with 1,3,5 and 7
3-6 Basic Skills and Concepts could be obtained by using calculators, computers, lottery results, or speciat a random numbers.) In Exercises 1-8, use the list of randomly generated digits in the margin 1. Simulating Guesses Assume that you want to use the digits in the 2. Simulating Dice Assume that you want to use the digits in the accom 3. Simulating Manufacturing The Telektronic Company is experimenting with a to simulate guesses on a true/false test. If an odd digit represents "true" digit represents "false."list the five answers correspondingtothe fitrow of and an eve simulate the rolling of a single die. If the digits 1, 2. 3,4, 5, 6 are used w rows. digits are ignored, list the outcomes obtained from the first two 46196 99438 72113 44044 86763 00151 64703 78907 19155 67640 process for manufacturing fuses, and the defect rate is 20%. We can si using 0 and 1 for defects, while 2, 3, 4, 5,6. 7, 8,9 represent good fuses (so that 2 mulate fuse are defects). Identify the defective and acceptable fuses corresponding to the finst ro of digits. 4. Simulating Birthdays In an example of this section, it was noted that birthdays can be simulated by generating integers between I and 365. If we use entries in a list of ra- dom digits, we can represent January 1 as 001, January 2 as 002,.. , and December 31 as 365. All other triplets of digits should be ignored. Using this approach, the fins row yields the valid birthday of 196. List the next five birthdays that can be obtained in this manner. 5. Simulating Families of Five Children Use the random digits in the margin for devel- oping a simulation for finding the probability of getting at least two girls in a family of five children. Describe the simulation, then estimate the probability based on its re- sults. How does the result compare to the correct result of 0.813? (Hint: Let the odd digits represent girls) 82855 25259 6. Simulating Three Dice Use the random digits in the margin to develop a simulation , then use it to estimate the probability for rolling three dice. Describe the simulation of getting correct result of 0.125? (Hint: Use only the digits 1, 2, 3, 4, 5, 6 and ignore all othe digits. a total of 10 when three dice are rolled. How does the result compare to 75260 7. Simulating Left-Handedness Ten percent of us are left-handed. In a study of dexter le are randomly selected in groups of five. Use the random digits in the in to develop a simulation for finding the probability of getting at least one left margi handed person in a group of five. How does the probabili sult of 0.410, which can be found by using the probability rules in this chapter? (Hin Because 10% of us are left-handed, let the digit 0 represent someone who is left. handed, and let the other digits represent someone who is not left-handed.) 55848 ty compare to the When Mendel conducted his famous hybridization expen experiment involved 8. Simulating Hybridization ith green pods and yellow pods. One experiment invol waythat 25% of the offspring peas were expected to have ye low pods. Use theoffspring peas are produced, at least one of them has probability that when two offspring peas are produced, at ea low pods How doeth probability rules ofthis chapter? (Hin: Because 25% of the digits in the margin to develop a simulation for finding th the result compare to the correct probability of 7/16, which can other 75% are expected to have ofspring are expected to have yelow pods and the eh ia offspring are expected to have yellow pods and the
Explanation / Answer
1.
Odd - True, Even - False
First Row - 46196
Five answers corresponding to this are:
False False True True False
3.
0,1 are defects
Rest of the numbers are acceptable
First Row - 46196
Type of fuses corresponding to this are :
Acceptable Acceptable Defective Acceptable Acceptable
5.
Let the odd digit represent girls.
So we count the number of odd digits in each of the 5 digit numbers to simulate the number of girls in a 5 member family.
For the 20 five digit numbers, the number of girls corresponding to each one of them are :
2, 3, 4,0, 2,3, 2, 3, 5, 1,2, 3, 2, 3,3,1,2,3,4,2
Probability of atleast 2 girls in a family = 17/20 = 0.85
The simulated result compares well with the correct answer of 0.813.
7.
0 - Left handed
Other digits - Right handed
For the 20 five digit numbers, the number of left handed persons corresponding to each one of them are :
0, 0, 0, 1, 0, 2, 1, 1, 0, 1,0,1, 0,0,0,0,1,0,0,0
Probability of atleast one left handed person in a group of 5 = 7/20 =0.35
The simulated probability is somewhat less than the correct probability of 0.410
